One-Dimensional Finite Elements

An Introduction to the FE Method

  • Andreas Öchsner
  • Markus Merkel

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Andreas Öchsner, Markus Merkel
    Pages 1-4
  3. Andreas Öchsner, Markus Merkel
    Pages 5-32
  4. Andreas Öchsner, Markus Merkel
    Pages 33-50
  5. Andreas Öchsner, Markus Merkel
    Pages 51-56
  6. Andreas Öchsner, Markus Merkel
    Pages 57-110
  7. Andreas Öchsner, Markus Merkel
    Pages 111-128
  8. Andreas Öchsner, Markus Merkel
    Pages 129-153
  9. Andreas Öchsner, Markus Merkel
    Pages 155-207
  10. Andreas Öchsner, M Merkel
    Pages 209-231
  11. Andreas Öchsner, Markus Merkel
    Pages 233-271
  12. Andreas Öchsner, Markus Merkel
    Pages 273-311
  13. Andreas Öchsner, Markus Merkel
    Pages 313-325
  14. Andreas Öchsner, Markus Merkel
    Pages 327-358
  15. Back Matter
    Pages 359-398

About this book

Introduction

 This textbook presents finite element methods using exclusively  one-dimensional elements. The aim is to present the complex methodology in  an easily understandable but mathematically correct fashion. The approach of  one-dimensional elements enables the reader to focus on the understanding of  the principles of basic and advanced mechanical problems. The reader easily  understands the assumptions and limitations of mechanical modeling as well  as the underlying physics without struggling with complex mathematics. But  although the description is easy it remains scientifically correct.

  The approach using only one-dimensional elements covers not only standard  problems but allows also for advanced topics like plasticity or the  mechanics of composite materials. Many examples illustrate the concepts and  problems at the end of every chapter help to familiarize with the topics.

Keywords

Backward-Euler algorithm Bending Plasticity Composite Materials Finite Elements Method FEM Nonlinear Elasticity Shear Forces Structural Mechanics Timoshenko Beams Torsion

Authors and affiliations

  • Andreas Öchsner
    • 1
  • Markus Merkel
    • 2
  1. 1.Faculty of Mechanical Engineering, Department of Applied MechanicsUniversity of Technology Malaysia—UTMJohorMalaysia
  2. 2.FB MaschinenbauHochschule Technik Wirtschaft AalenAalenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-31797-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-31796-5
  • Online ISBN 978-3-642-31797-2
  • About this book